scholarly journals Characterization of Almost Surely Continuous 1-Stable Random Fourier Series and Strongly Stationary Processes

1990 ◽  
Vol 18 (1) ◽  
pp. 85-91 ◽  
Author(s):  
Michel Talagrand
Keyword(s):  
Fourier Series ◽  
Stationary Processes ◽  
Strongly Stationary ◽  
Random Fourier Series

Representation of Strongly Stationary Stochastic Processes

1993 ◽  
Vol 60 (3) ◽  
pp. 689-694 ◽  
Author(s):  
M. Di Paola
Keyword(s):  
Stochastic Process ◽  
Stochastic Processes ◽  
Linear Systems ◽  
Stationary Processes ◽  
Orthogonality Conditions ◽  
Probabilistic Characterization ◽  
Stationary Stochastic Processes ◽  
Fixed Order ◽  
Strongly Stationary

A generalization of the orthogonality conditions for a stochastic process to represent strongly stationary processes up to a fixed order is presented. The particular case of non-normal delta correlated processes, and the probabilistic characterization of linear systems subjected to strongly stationary stochastic processes are also discussed.

scholarly journals The Jain–Monrad criterion for rough paths and applications to random Fourier series and non-Markovian Hörmander theory

2016 ◽  
Vol 44 (1) ◽  
pp. 684-738 ◽  
Author(s):  
Peter K. Friz ◽  
Benjamin Gess ◽  
Archil Gulisashvili ◽  
Sebastian Riedel
Keyword(s):  
Fourier Series ◽  
Rough Paths ◽  
Random Fourier Series

scholarly journals A Borderline Random Fourier Series

1995 ◽  
Vol 23 (2) ◽  
pp. 776-785 ◽  
Author(s):  
Michel Talagrand
Keyword(s):  
Fourier Series ◽  
Random Fourier Series
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